Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

332×

body

valid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	27	3
2	62	3
3	112	3
4	170	3
5	213	3
6	260	3
7	450	3
8	845	3
9	1532	3
10	3138	3
11	4585	3
12	5001	3

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 1.8b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

1.6b	(fma (- y x) (/ z t) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (- y x) (/ z t) x)

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(fma (- y x) (/ z t) x)

simplify46.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	41	69
1	86	62
2	257	53
3	1247	53
4	5002	53

prune26.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	10	3	13
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	10	4	14

Merged error: 1.7b

Counts

14 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (- y x) (/ z t) x))
1.6b	(fma (- y x) (/ z t) x)
1.6b	(fma (- y x) (/ z t) x)
1.6b	(fma (- y x) (/ z t) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

1.0ms	(cbrt (fma (- y x) (/ z t) x))
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)

series333.0ms

Counts

4 → 12

Calls

4 calls:

213.0ms	(cbrt (fma (- y x) (/ z t) x))
44.0ms	(fma (- y x) (/ z t) x)
37.0ms	(fma (- y x) (/ z t) x)
39.0ms	(fma (- y x) (/ z t) x)

simplify40.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (35.0ms)

Iter	Nodes	Cost
0	117	320
1	277	290
2	1031	260
3	5002	255

prune126.0ms

Filtered

55 candidates to 44 candidates (80.0%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	53	6	59

Merged error: 1.7b

Counts

59 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

1.6b	(fma (- y x) (/ z t) x)
1.6b	(fma (- y x) (/ z t) x)
1.6b	(fma (- y x) (/ z t) x)
1.6b	(fma (- y x) (/ z t) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)

series163.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(fma (- y x) (/ z t) x)
44.0ms	(fma (- y x) (/ z t) x)
38.0ms	(fma (- y x) (/ z t) x)
41.0ms	(fma (- y x) (/ z t) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	41	276
1	86	248
2	257	212
3	1247	212
4	5002	212

prune143.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	52	6	58

Merged error: 1.7b

Counts

58 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

1.6b	(fma (- y x) (/ z t) x)
1.6b	(fma (- y x) (/ z t) x)
1.6b	(fma (- y x) (/ z t) x)
1.6b	(fma (- y x) (/ z t) x)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

4 → 40

Calls

4 calls:

1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)
1.0ms	(fma (- y x) (/ z t) x)

series154.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(fma (- y x) (/ z t) x)
43.0ms	(fma (- y x) (/ z t) x)
39.0ms	(fma (- y x) (/ z t) x)
39.0ms	(fma (- y x) (/ z t) x)

simplify46.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	41	276
1	86	248
2	257	212
3	1247	212
4	5002	212

prune137.0ms

Filtered

52 candidates to 40 candidates (76.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	52	0	52
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	52	6	58

Merged error: 1.7b

Counts

58 → 6

regimes152.0ms

Accuracy

0% (0.1b remaining)

Error of 2.0b against oracle of 2.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3

end0.0ms

sample577.0ms

Algorithm

intervals

Results

298.0ms

10591×

body

valid